10725952502500 has 135 divisors (see below), whose sum is σ = 24922878365847. Its totient is φ = 4036957632000.

The previous prime is 10725952502479. The next prime is 10725952502501. The reversal of 10725952502500 is 520525952701.

The square root of 10725952502500 is 3275050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 6270847355556 + 4455105146944 = 2504166^2 + 2110712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10725952502501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2783790574 + ... + 2783794426.

Almost surely, 2^{10725952502500} is an apocalyptic number.

10725952502500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10725952502500 is the 3275050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10725952502500

10725952502500 is an abundant number, since it is smaller than the sum of its proper divisors (14196925863347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10725952502500 is an frugal number, since it uses more digits than its factorization.

10725952502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 10725952502500 in words is "ten trillion, seven hundred twenty-five billion, nine hundred fifty-two million, five hundred two thousand, five hundred".